Introduction to Parametric Equations - Page 9

Questions
  • How do you find the set of parametric equations for the line through the point P(2,-1,0) which is perpendicular to the plane described by the general equation -x+z=2?
  • How do you write an equation in slope-intercept form of the line with parametric equations: x=2+3t and y=4+t?
  • How do you find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x − y + 3z = 7?
  • Is it possible to determine an explicit formula from an implicit one?
  • Consider the plane 3x-7y-z+7=0 a) State any point on the plane b) State any direction vector of the plane c)is the point (-2,-1,8) on the plane?
  • Why are parametric equations used instead of putting it all into one cartesian equation?
  • If you are given a parametric equation and a function, how would you find which point they meet/cross each other?
  • Use t=5x+4 to write the parametric equations that can represent y=30x+29?
  • Find the differential equation of the family of curves #color(white)(.)x^2+y^2+2ax+2by+c=0#,where #a,b,c# are parameters?
  • Find the differential equation of the family of curves #color(white)(.)x^2+y^2+2ax+2by+c=0#,where #a,b,c# are parameters?
  • kindly solve this question?
  • Find the coordinates of the points of intersection of the two curves. (y=x^2-1 & y=6/x^2)?
  • (constant coefficient systems phase plane method) # y_1'=y_1+y_2 , y_2'=3y_1-y_2 #?
  • How do you find the range given #x=t^2-4# and #y=t/2# for #-2 <= t <= 3#?
  • How do write parametric equations for Margot's position t seconds after s if Margot is walking in a straight line from a point 30 feet due east of a statue from a point 24 feet due north of the statue and walks at a constant speed of four feet per second?
  • How do you find parametric equations for the path of a particle that moves along the #x^2 + (y-3)^2 = 16# Halfway around counterclockwise, starting at (0,7). 0 ≤ t ≤ pi?
  • How do you write parametric equations for the curve that polar equation #r = 3cos(theta)#?
  • How do you find the parametric equations for the line through the point P = (3, 5, -2) that is perpendicular to the plane −5x + 1y + 3z = 1?